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Finding the Fourth Proportional to 3,813.86, 5,711.61 and 2,166.38

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Solution

The fourth proportional to 3,813.86, 5,711.61 and 2,166.38 is: 3,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.86 : 5,711.61 = 2,166.38 : x
  2. Step 2: Convert to fraction form
    3,813.86/5,711.61 = 2,166.38/x
  3. Step 3: Cross multiply
    3,813.86x = 5,711.61 × 2,166.38
  4. Step 4: Simplify right side
    3,813.86x = 12,373,517.67
  5. Step 5: Solve for x
    x = 12,373,517.67/3,813.86
  6. Step 6: Final answer
    x = 3,244.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.